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Finding the Third Proportional to 359,564 and 798,937

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Solution

The third proportional to 359,564 and 798,937 is: 1,775,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,564 : 798,937 = 798,937 : x
  2. Step 2: Convert to fraction form
    359,564/798,937 = 798,937/x
  3. Step 3: Cross multiply
    359,564x = 798,937 × 798,937
  4. Step 4: Simplify right side
    359,564x = 638,300,329,969
  5. Step 5: Solve for x
    x = 638,300,329,969/359,564
  6. Step 6: Final answer
    x = 1,775,206.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.